Terry and Bob each have an aquarium. Terry’s aquarium is 14 cm long, 12 cm high, and 10 cm wide. Bob’s aquarium is 13 cm long, 15 cm high and 8 cm wide. Whose aquarium holds the larger volume of water? Explain how you know
To find the volume of each aquarium, we multiply the length by the height by the width.
For Terry's aquarium: 14 cm x 12 cm x 10 cm = 1680 cm³
For Bob's aquarium: 13 cm x 15 cm x 8 cm = 1560 cm³
Therefore, Terry's aquarium holds a larger volume of water as it has a volume of 1680 cm³ compared to Bob's aquarium which has a volume of 1560 cm³.
Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of 12 ft.3 . Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft.3. What are the widths of Kyle and Myla's boxes? Explain how you know.
To find the width of the storage boxes, we can use the formula for volume: Volume = Length x Width x Height.
For Kyle's box: 12 ft³ = 2 ft x Width x 3 ft
Solving for Width, we get: Width = 12 ft³ / (2 ft x 3 ft) = 2 ft
For Myla's box: 16 ft³ = 2 ft x Width x 4 ft
Solving for Width, we get: Width = 16 ft³ / (2 ft x 4 ft) = 2 ft
Therefore, the widths of both Kyle and Myla's boxes are 2 ft each. This is because the volume of the boxes can be calculated using the given dimensions, and by isolating the width in the volume formula, we can solve for the width of each box.
Two fish tanks have measurements as shown.
Which tank has a greater volume? How much greater is its volume?
Use the drop-down menus to explain and show your answer.
Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet.
(1 point)
The volume of fish tank A is
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cubic feet, and the volume of fish tank B is
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cubic feet. So fish tank
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has a greater volume. Its volume is greater by
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cubic feet.
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To find the volume of each fish tank, we use the formula: Volume = Area of base x Height.
For Fish Tank A:
Volume = 25 square feet x 8 feet = 200 cubic feet.
For Fish Tank B:
Volume = 40 square feet x 4 feet = 160 cubic feet.
Therefore, the volume of Fish Tank A is 200 cubic feet, and the volume of Fish Tank B is 160 cubic feet. Fish Tank A has a greater volume, and its volume is greater by 40 cubic feet (200 cubic feet - 160 cubic feet = 40 cubic feet).
An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house.
A solid shape is shown; two rectangular prisms are attached. The total length of the shape is 6 feet. One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet. The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet.
(1 point)
Responses
(1×3×4)+(2×5×3)
( 1 × 3 × 4 ) + ( 2 × 5 × 3 )
(1×3)+(4×2)+(5×3)
( 1 × 3 ) + ( 4 × 2 ) + ( 5 × 3 )
(1×3×2)+(6×3×2)
( 1 × 3 × 2 ) + ( 6 × 3 × 2 )
3×(1+4)+2×(5+3)
3 × ( 1 + 4 ) + 2 × ( 5 + 3 )
(3×4)+1×(2×5)+3
The correct expressions that could be used to find the volume of the hamster house are:
1. (1×3×4) + (2×6×3) = 12 + 36 = 48 cubic feet
2. (1×3×2) + (6×3×2) = 6 + 36 = 42 cubic feet
Therefore, the volume of the hamster house could be either 48 cubic feet or 42 cubic feet, depending on the method used to calculate it.